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Business Acquisitions, Goodwill and Acquired Intangible Assets (Narrative) (Details)
In Millions, except Per Share data, unless otherwise specified
12 Months Ended 0 Months Ended 12 Months Ended 0 Months Ended 3 Months Ended 12 Months Ended 0 Months Ended 0 Months Ended 12 Months Ended 0 Months Ended 12 Months Ended 0 Months Ended 12 Months Ended 0 Months Ended 0 Months Ended 0 Months Ended 12 Months Ended 0 Months Ended
Dec. 28, 2014
USD ($)
Dec. 29, 2013
USD ($)
Dec. 30, 2012
USD ($)
entity
Dec. 28, 2014
Minimum
Dec. 28, 2014
Maximum
Dec. 28, 2014
Bolt
USD ($)
Dec. 28, 2014
Oceanscience
USD ($)
Dec. 28, 2014
Atlas
USD ($)
Dec. 28, 2014
Photon
USD ($)
Jul. 01, 2014
Ocean Aero
Oct. 22, 2013
CDL
USD ($)
Dec. 29, 2013
CDL
USD ($)
Dec. 30, 2012
CDL
GBP (£)
Aug. 30, 2013
CETAC
USD ($)
Dec. 29, 2013
CETAC
USD ($)
Dec. 29, 2013
CETAC
USD ($)
Dec. 30, 2012
CETAC
USD ($)
Jul. 08, 2013
Nova Research, Inc
USD ($)
Jul. 08, 2013
Nova Research, Inc
May 08, 2013
Axiom
USD ($)
Dec. 29, 2013
Axiom
USD ($)
Mar. 01, 2013
RESON
USD ($)
Dec. 29, 2013
RESON
USD ($)
Dec. 30, 2012
RESON
EUR (€)
Dec. 29, 2013
Other 2013 Acquisitions
USD ($)
Aug. 03, 2012
LeCroy
USD ($)
Jun. 30, 2011
LeCroy
USD ($)
Dec. 30, 2012
Other 2012 Acquisitions
USD ($)
Apr. 03, 2012
Optech Incorporated
USD ($)
Mar. 31, 2012
Optech Incorporated
CAD
Dec. 29, 2013
Optech Incorporated
USD ($)
Dec. 30, 2012
Optech Incorporated
USD ($)
Apr. 30, 2012
Optech Incorporated
USD ($)
Apr. 03, 2011
Optech Incorporated
Nov. 18, 2014
Subsidiaries
Bolt
USD ($)
Jun. 30, 2014
Subsidiaries
Bolt
USD ($)
Nov. 18, 2014
Subsidiaries
Bolt
USD ($)
Oct. 22, 2014
Subsidiaries
Oceanscience
USD ($)
Dec. 29, 2013
Subsidiaries
Oceanscience
USD ($)
Aug. 18, 2014
Subsidiaries
Atlas
USD ($)
Mar. 31, 2014
Subsidiaries
Photon
USD ($)
Feb. 02, 2015
Subsidiaries
Bowtech Products Limited
Subsequent Event
USD ($)
Business Acquisition [Line Items]                                                                                    
Purchase of businesses and other investments $ 195.8tdy_PurchaseOfBusinessesAndOtherInvestmentsNetOfCashAcquired $ 128.2tdy_PurchaseOfBusinessesAndOtherInvestmentsNetOfCashAcquired $ 389.2tdy_PurchaseOfBusinessesAndOtherInvestmentsNetOfCashAcquired                                                                              
Business acquisition, share price                                                                         $ 22.00us-gaap_BusinessAcquisitionSharePrice
/ us-gaap_BusinessAcquisitionAxis
= tdy_BoltMember
/ dei_LegalEntityAxis
= us-gaap_SubsidiariesMember
         
Payments to acquire businesses, net of cash acquired           171.0us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_BoltMember
14.7us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_OceanscienceMember
5.2us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_AtlasMember
2.9us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_PhotonMember
  21.8us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_C.D.LimitedMember
21.8us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_C.D.LimitedMember
  26.4us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_CETACTechnologiesMember
  26.4us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_CETACTechnologiesMember
      4.0us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_AxiomMember
4.0us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_AxiomMember
69.7us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_RESONMember
69.7us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_RESONMember
  1.4us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_Other2013AcquisitionsMember
301.3us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_LeCroyCorporationMember
  87.9us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_Other2012AcquisitionsMember
27.9us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_OptechMember
          171.0us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_BoltMember
/ dei_LegalEntityAxis
= us-gaap_SubsidiariesMember
    14.7us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_OceanscienceMember
/ dei_LegalEntityAxis
= us-gaap_SubsidiariesMember
  5.2us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_AtlasMember
/ dei_LegalEntityAxis
= us-gaap_SubsidiariesMember
3.3us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_PhotonMember
/ dei_LegalEntityAxis
= us-gaap_SubsidiariesMember
 
Sales reported by acquired entity for last annual period                         9.9us-gaap_BusinessAcquisitionRevenueReportedByAcquiredEntityForLastAnnualPeriod
/ us-gaap_BusinessAcquisitionAxis
= tdy_C.D.LimitedMember
      24.0us-gaap_BusinessAcquisitionRevenueReportedByAcquiredEntityForLastAnnualPeriod
/ us-gaap_BusinessAcquisitionAxis
= tdy_CETACTechnologiesMember
            50.8us-gaap_BusinessAcquisitionRevenueReportedByAcquiredEntityForLastAnnualPeriod
/ us-gaap_BusinessAcquisitionAxis
= tdy_RESONMember
    178.1us-gaap_BusinessAcquisitionRevenueReportedByAcquiredEntityForLastAnnualPeriod
/ us-gaap_BusinessAcquisitionAxis
= tdy_LeCroyCorporationMember
98.7us-gaap_BusinessAcquisitionRevenueReportedByAcquiredEntityForLastAnnualPeriod
/ us-gaap_BusinessAcquisitionAxis
= tdy_Other2012AcquisitionsMember
  54.7us-gaap_BusinessAcquisitionRevenueReportedByAcquiredEntityForLastAnnualPeriod
/ us-gaap_BusinessAcquisitionAxis
= tdy_OptechMember
          67.5us-gaap_BusinessAcquisitionRevenueReportedByAcquiredEntityForLastAnnualPeriod
/ us-gaap_BusinessAcquisitionAxis
= tdy_BoltMember
/ dei_LegalEntityAxis
= us-gaap_SubsidiariesMember
    6.8us-gaap_BusinessAcquisitionRevenueReportedByAcquiredEntityForLastAnnualPeriod
/ us-gaap_BusinessAcquisitionAxis
= tdy_OceanscienceMember
/ dei_LegalEntityAxis
= us-gaap_SubsidiariesMember
     
Payments to acquire businesses, periodic payment                                       1.3tdy_PaymentstoAcquireBusinessesPeriodicPayment
/ us-gaap_BusinessAcquisitionAxis
= tdy_AxiomMember
                                        0.7tdy_PaymentstoAcquireBusinessesPeriodicPayment
/ us-gaap_BusinessAcquisitionAxis
= tdy_PhotonMember
/ dei_LegalEntityAxis
= us-gaap_SubsidiariesMember
 
Periodic payment, term                                       3 years                                         3 years  
Equity method investment, ownership percentage                   29.70%us-gaap_EquityMethodInvestmentOwnershipPercentage
/ us-gaap_BusinessAcquisitionAxis
= tdy_OceanAeroMember
                                                               
Payments to acquire businesses, adjustment                             0.4tdy_PaymentstoAcquireBusinessesAdjustment
/ us-gaap_BusinessAcquisitionAxis
= tdy_CETACTechnologiesMember
                                                     
Percentage of interests acquired                                     49.00%us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_NovaResearchIncMember
                            19.00%us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_OptechMember
               
Payments to acquire businesses, gross                                   4.9us-gaap_PaymentsToAcquireBusinessesGross
/ us-gaap_BusinessAcquisitionAxis
= tdy_NovaResearchIncMember
                                              18.4us-gaap_PaymentsToAcquireBusinessesGross
/ us-gaap_BusinessAcquisitionAxis
= tdy_BowtechProductsLimitedMember
/ dei_LegalEntityAxis
= us-gaap_SubsidiariesMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Number of other businesses acquired     4tdy_NumberOfOtherBusinessesAcquired                                                                              
Aggregate number of businesses acquired during period     5us-gaap_NumberOfBusinessesAcquired                                                                              
Percentage of voting interests acquired                                                                 51.00%tdy_BusinessAcquisitionIncreasePercentageofVotingInterestsAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_OptechMember
                 
Ownership percentage by noncontrolling owners                                                                 49.00%us-gaap_MinorityInterestOwnershipPercentageByNoncontrollingOwners
/ us-gaap_BusinessAcquisitionAxis
= tdy_OptechMember
                 
Equity interest issued or issuable, value assigned                                                                 49.8us-gaap_BusinessAcquisitionEquityInterestIssuedOrIssuableValueAssigned
/ us-gaap_BusinessAcquisitionAxis
= tdy_OptechMember
                 
Other noncontrolling interests                                                             47.3us-gaap_OtherMinorityInterests
/ us-gaap_BusinessAcquisitionAxis
= tdy_OptechMember
49.8us-gaap_OtherMinorityInterests
/ us-gaap_BusinessAcquisitionAxis
= tdy_OptechMember
                   
Goodwill, net 1,150.6us-gaap_Goodwill 1,037.8us-gaap_Goodwill 990.2us-gaap_Goodwill     128.8us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_BoltMember
9.0us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_OceanscienceMember
3.6us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_AtlasMember
1.4us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_PhotonMember
    11.9us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_C.D.LimitedMember
    11.1us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_CETACTechnologiesMember
11.1us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_CETACTechnologiesMember
        3.4us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_AxiomMember
  35.1us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_RESONMember
                                     
Acquired intangibles, net 277.6tdy_AcquiredIntangibleAssetsNetCarryingAmount 270.9tdy_AcquiredIntangibleAssetsNetCarryingAmount                                                                                
Amortizable other intangible assets, useful lives       1 year 15 years                                                                          
Amortization expense 32.0us-gaap_AmortizationOfIntangibleAssets 31.5us-gaap_AmortizationOfIntangibleAssets 29.4us-gaap_AmortizationOfIntangibleAssets                                                                              
Future amortization expense, 2015 30.9us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths                                                                                  
Future amortization expense, 2016 27.7us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo                                                                                  
Future amortization expense, 2017 26.1us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree                                                                                  
Future amortization expense, 2018 23.1us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour                                                                                  
Future amortization expense, 2019 $ 15.2us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive